### June Vacation Chap 9.2 RATE (L4) Self-Paced Learning

1. Mathematics Textbook 1B
(a) Go through Chapter 9 (p9 to p11)
(b) Attempt Exercise 9.2 Q1 to Q10.

2. ACELearning Portal: eLearning Portal
> Subject: Secondary 1 Express
> Ratio, Rate and Speed: Choose Rate

(a) Go through video lessons: Rate, Average Rate, Example 1, Example 2
(b) Try Practice Drills on your own to check your understanding
Note: An email has been sent to all students via the AceLearning

1. 1. a) \$3.50/l
b) 72vases/day
c) 47words/min
d) \$80/m^2
e) 4kg/m
f) 60g/egg
2. a) \$23/hour
b) \$920/week
3. a) 9km/l
b) \$1.20/l
4. a) 87.5g/cube
b) 0.7g/cm^3 of cube
5. a) \$15/ticket
b) \$150
6. a) \$22.50/m^2
b) \$450
7. a) 27l/min
b) 3mins
8. a) \$26/kg
b) 25g/m^2
c) \$78
9. a) \$201 600
b) \$4200/m^2
10. a) 19.3g/cm^3
b) No it is not, it is slightly lighter than if made of pure gold.

2. 1) a) \$3.50/l
b) 72 vases/day
c) 47 words/min
d) \$80/m^2
e) 4kg/m
f) 60g/egg

2)a) \$23/hour
b) \$920/week

3) a) 9km/l
b) \$1.20/l

4) a) 87.5g/cube
b) 0.7g/cm^3

5) a) \$15/ticket
b) \$150

6) a) \$22.50/m^2
b) \$450

7) a) 27 l/min
b) 3minutes

8) a) \$26/kg
b) 25g
c) mass:3kg
cost: \$78

9) a) \$201 600
b) \$4200/m^2

10) a) 19.3g/cm^3
b) No.The gold cube would be lighter in weight if it is made of pure
gold.

3. 1)a)\$3.50/l
b)72 vases/day
c)47 words/min
d)\$80/m^2
c)4kg/m
d)60g/egg

2)a)\$23/hour
b)\$920/week

3)a)9km/l
b)\$1.20/l

4)a)87.5g/cube
b)0.7g/cm^3

5)a)\$15/ticket
b)\$150

6)a)\$22.50/m^2
b)\$450

7)a)27 l/min
b)3 minutes

8)a)\$26/kg
b)25g
c)mass:\$3 cost:\$78

9)a)\$201 600
b)\$4200/m^2

10)a)19.3g/cm^3
b)No. If it were made of pure gold ,like the first cube, It would have had less mass.

4. 1a. \$3.50/l
1b. 72 vases/day
1c. 47 words/min
1d. \$80/m^2
1e. 4kg/m
1f. 60g/egg

2a. \$23/hour
2b. \$920/week

3a. 9km/l
3b. \$1.20/l

4a. 87.5g/cube
4b. 0.7g/cm^3

5a. \$15/ticket
5b. \$150

6a. \$22.50/m^2
6b. \$450

7a. 27 l/min
7b. 3 minutes

8a. \$26/kg
8b. 25g/m^2
8c. \$78

9a. \$201 600
9b. \$4 200/m^2

10a. 19.3g/cm^3
10b. No. This cube should be lighter if it is made of pure gold.

5. 1a) \$7/2
= \$3.50/l
1b) 360/5
= 72 vases/day
1c) 376/8
= 47 words/min
1d) \$240/3
= \$80/m^2
1e) 10kg/2.5
= 4kg/m
1f) 720g/12
= 60g/egg

2a) \$184/8
= \$23/h
2b) \$184 X 5
= \$920/week

3a) 225/25
= 9km/l
3b) 30/25
= \$1.20/l

4a) 525/6
= 87.5/cube
4b) 5x5x5=125 cm^3
87.5/125
= 0.7g/cm^3

5a) \$120/8
= \$15/ticket
5b) \$15 X 10
= \$150/10 tickets

6a) \$270/12
= \$22.50/m^2
6b) \$22.50 X 20
= \$450

7a) 9 X 3
= 27 l/min
7b) 60 X 45 X 30 = 81,000 cm^3 = 81 l
81/27
= 3 minutes to fill the tank completely with water

8a) 13 X 2
= \$26/kg
8b) 500/20
= 25g/m^2
8c) 15 X 8 = 120m^2
500 X 6 = 3000g
= 3kg
\$13 X 6
= \$78

9a) 504,000/5 X 2
= \$201,600
9b) 504,000/120
= \$4200/m^2

10a) 3 X 3 X 3 = 27cm^3
52.11/27
= 19.3g/cm^3
10b) No. That cube is not made up of pure gold as would be heavier if it was made up of pure gold.

6. 1)a. \$3.50/l
b. 72 vases/day
c. 47 words/min
d. \$80/m^2
e. 4kg/m
f. 60g/egg

2) a.\$23/hour
b. \$920/week

3) a.9km/l
b.\$1.20/l

2)a. \$23/hour
b. \$920/week

3)a. 9km/l
b. \$1.20/l

4)a. 87.5g/cube
b. 0.7g/cm^3

5)a. \$15/ticket
b. \$150

6)a. \$22.50/m^2
b. \$450

7)a. 27 l/min
b. 3 minutes

8)a. \$26/kg
b. 25g/m^2
c. \$78

9)a. \$201 600
b. \$4 200/m^2

10)a.19.3g/cm^3
b. No. The cube should have been a little lighter if its made out of pure gold

7. 1(a)3.50 (b)72 (c)47 (d)80 (e)4 (f)60

2(a)\$23/h (b)\$920/week

3(a)9km/litre (b)\$1.20

4(a)87.5g (b)0.7g

5(a)\$15 (b)\$150

6(a)\$22.5 (b)\$450

7(a)27 litre (b)3min

8(a)\$26 (b)25g (c)mass:3kg cost:\$78

9(a)\$201600 (b)\$4200

10(a)19.3g
(b)A pure gold of cube of side 2cm would be 154.4g

8. This comment has been removed by the author.

9. 1 (a) \$3.50/l
(b) 72 vases/day
(c) 47 words/min
(d) \$80/m^2
(e) 4 kg/m
(f) 60g/egg

2 (a) \$23/h
(b) \$920/week

3 (a) 9km/litre
(b) \$1.20/litre

4 (a) 87.5g/cube
(b) 0.7g/cm^3 of cube

5 (a) \$15/ticket
(b) \$150

6 (a) \$22.5/m^2
(b) \$450

7 (a) 27 l/min
(b) 3 min

8 (a) \$26/kg
(b) 25g
(c) 3000g; \$78

9 (a) \$201600
(b) \$4200/m^2

10 (a) \$19.50/cm^3
(b) Pure gold of 2cm side: 2^3 x \$19.30 = 154.40g
Gold cube of 2 cm side: 120g

The gold cube is not pure as referred to the above working shown.

[Oops for the deleted post above, because I missed out an important word in the statement hahaha]

10. 1a: \$3.50/L
1b: \$72
1c: 47words/min
1d: \$80/m^2
1e: 4kg/m
1f: 60g/egg

2a: \$23/h
2b: \$920/week

3a: 9km/L
3b: \$1.20/L

4a 87.5g/cube
4b 0.7g/cm^3 of cube

5a \$15/ticket
5b \$150

6a \$22.5/m^2
6b \$450

7a 27 L/min
7b 3 min

8a \$26/kg
8b 25g
8c Mass: 3kg, Cost: \$78

9a \$201600
9b \$4200/m^2

10a \$19.50/cm^3
10b Pure gold would be 154.4g, so it is not 100% gold.

11. 1a: \$3.50/L
1b: \$72
1c: 47words/min
1d: \$80/m^2
1e: 4kg/m
1f: 60g/egg

2a: \$23/h
2b: \$920/week

3a: 9km/L
3b: \$1.20/L

4a 87.5g/cube
4b 0.7g/cm^3 of cube

5a \$15/ticket
5b \$150

6a \$22.5/m^2
6b \$450

7a 27 L/min
7b 3 min

8a \$26/kg
8b 25g
8c Mass: 3000g,
Cost: \$78

9a \$201600
9b \$4200/m^2

10a \$19.50/cm^3
10b No. it is because pure gold cube of side 2 cm weighs 154.4g wheras a gold cube of side 2 cm weighs 120g thus it is not made of pure gold.

12. 1a. \$3.50/l
1b. 72 vases/day
1c. 47 words/min
1d. \$80/m^2
1e. 4kg/m
1f. 60g/egg
2a. \$23/hour
2b. \$920/week
3a. 9km/l
3b. \$1.20/l
4a. 87.5g/cube
4b. 0.7g/cm^3
5a. \$15/ticket
5b. \$150
6a. \$22.50/m^2
6b. \$450
7a. 27 l/min
7b. 3 minutes
8a. \$26/kg
8b. 25g/m^2
8c. \$78
9a. \$201 600
9b. \$4 200/m^2
10a. 19.3g/cm^3
10b. The cube will be lighter if it was pure gold.

13. 1 (a) \$3.50/litre
(b) 72 vases/day
(c)47 words/min
(d) \$80/m^2
(e)4kg/m
(f)60g/egg
2 (a)\$23/hour
(b) \$920/week
3 (a) 9km/l
(b)\$1.20/l
4 (a) 87.5g/cube
(b) 0.7g/cm^3
5 (a)\$15/ticket
(b)\$150
6 (a) \$22.50/m^2
(b) \$450
7 (a) 27 l/min
(b) 3 minutes
8 (a)\$26/kg
(b) 25g/m^2
(c) \$78
9 (a)\$201 600
(b)\$4 200/m^2
10 (a) 19.3g/cm^3
(b)No, it is lighter than pure gold, which means it's probably not real.

14. 1a. \$3.50/l

1b. 72 vases/day

1c. 47 words/min

1d. \$80/m^2

1e. 4kg/m

1f. 60g/egg

2a. \$23/hour

2b. \$920/week

3a. 9km/l

3b. \$1.20/l

4a. 87.5g/cube

4b. 0.7g/cm^3

5a. \$15/ticket

5b. \$150

6a. \$22.50/m^2

6b. \$450

7a. 27 l/min

7b. 3 minutes

8a. \$26/kg

8b. 25g/m^2

8c. \$78

9a. \$201 600

9b. \$4 200/m^2

10a. 19.3g/cm^3

10b. The cube will be lighter if it was pure gold.

15. 1. a) \$3.50/litre
b) 72vases/day
c) 47words/min
d) \$80/m^2
e) 4kg/m
f) 60g/egg

2. a) \$23/hour
b) \$920/week

3. a) 9km/litre
b) \$1.20/litre

4. a) 87.5g/cube
b) 0.7g/cm^3

5. a) \$15/ticket
b) \$150

6. a) \$22.50/m^2
b) \$450

7. a) 27l/min
b) 3mins

8. a) \$26/kg
b) 25g/m^2
c) \$78

9. a) \$201 600
b) \$4200/m^2

10. a) 19.3g/cm^3
b)No, it is not. It is slightly less dense than pure gold